Question #231356

16)Find Laurent series expansion of the function 2z/ z²-3z+2 in the regions

2<|z+1 <3 and |z-1|> 3.

Expert's answer

The function is given as: 2z/ z²-3z+2

The regions: 2<|z+1 <3 and |z-1|> 3

We can expand the Laurent function as follows:

The first expansion we generate is:

Then we can proceed and conduct more integration and expansion to generate a function that lies between 2<|z+1 <3 and |z-1|> 3

In this case, we have a function that lies between the provided regions:

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